Cracking The SAT Premium

Questions 37 and 38 refer to the following information.

Professor    Malingowski,    a   chemist     and     teacher     at  a   community   college,    is  organizing  his

graduated   cylinders   in  the hopes   of  keeping his office  tidy    and setting a   good    example for his

students.   He  has beakers with    diameters,  in  inches, of   ,   ,   ,  1,  and .

37 .Professor   Malingowski notices one additional  cylinder    lying   on  the ground, and can recall

certain facts   about   it, but not its actual  diameter.   If  he  knows   that    the value   of  the

additional  graduated   cylinder’s  diameter,   x,  will    not create  any modes   and will    make    the

mean    of  the set equal   to   ,  what    is  the value   of  the additional  cylinder’s  diameter?

38 .With    his original    five    cylinders,  Professor   Malingowski realizes    that    he  is  missing a

cylinder    necessary   for his upcoming    lab demonstration   for Thursday’s  class.  He

remembers   that    the cylinder    he  needs,  when    added   to  the original    five,   will    create  a

median  diameter    value   of  for the set of  six total   cylinders.  He  also    knows   that    the

measure of  the sixth   cylinder    will    exceed  the value   of  the range   of  the current five

cylinders   by  a   width   of  anywhere    from        inches  to      inches, inclusive.  Based   on  the

above   data,   what    is  one possible    value   of  y,  the diameter    of  this    missing sixth   cylinder?

STOP

If  you finish  before  time    is  called, you may check   your    work    on  this    section only.

Do  not turn    to  any other   section in  the test.